Synchrotrons and accelerating particles

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SUMMARY

In synchrotrons, particles are accelerated in straight sections by an electric field generated by alternating voltage applied between electrodes, specifically in pairs of drift tubes. The frequency of this alternating voltage does not need to increase as particles approach the speed of light, allowing the constant frequency to remain synchronized with the particles. Magnetic forces from electromagnets maintain the trajectory of particles in curved sections, ensuring they stay on track. The relationship between velocity and time taken for particles to travel between sections is crucial for understanding synchrotron operations.

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  • Understanding of electric fields and their role in particle acceleration
  • Familiarity with magnetic forces and their application in particle trajectories
  • Knowledge of particle physics, particularly regarding synchrotrons
  • Basic grasp of alternating voltage and its effects on charged particles
NEXT STEPS
  • Research the principles of particle acceleration in synchrotrons
  • Study the role of electromagnets in maintaining particle trajectories
  • Learn about the design and function of drift tubes in particle accelerators
  • Explore the implications of relativistic speeds on particle behavior in synchrotrons
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Physicists, engineers, and students interested in particle physics, particularly those focusing on synchrotron technology and particle acceleration mechanisms.

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1. in synchrotrons; as i understand, particles are only accelerated along the straight sections by an electric field established by electrodes. in my textbook, it says "a high frequency alternating voltage is applied between electrodes positioned around the ring which accelerates the charged particles to high energies". so my question is: would this alternating voltage be constant? Surely its frequency would need to increase in order to account for decreased flight time?

the idea is that there are curved sections of the synchrotron, and in order to keep particles in their tracks along these, a magnetic force is provided by electromagnets: BQv = m(v
2)/r. in the straight sections, the charged particles are accelerated by an electric field so velocity increases, therefore Q must also increase. Would the increase in velocity result in a decrease in time taken for the particle to travel between the straight sections such that the frequency of the alternating voltage applied between electrodes at the straight sections would need to increase.

NB: the electrodes at the straight sections are pairs/groups of drift tubes: the alternating voltage is applied to every other drift tube such that the electrons are always attracted towards the next one.

I am not really sure how much to assume people know about what I am going on about, so please let me know if this is all v unclear.
many thanks in advance :smile:
 
Last edited:
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Welcome to PF!

I have moved your thread from the Homework & Coursework area to the General Physics area, since it is (apparently) not a request for homework help.

Particles in synchrotrons typically move close to the speed of light, so do not speed up appreciably and the constant frequency can remain in synch with the particles.
 

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